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1、ErgebnissederMathematikVolume34undihrerGrenzgebiete3.FolgeASeriesofModernSurveysinMathematicsEditorialBoardM.Gromov,Bures-sur-YvetteJ.Jost,LeipzigJ.Kollár,PrincetonG.Laumon,OrsayH.W.Lenstra,Jr.,LeidenJ.Tits,ParisD.B.Zagier,BonnG.Ziegler,BerlinManagingEditorR.Remmert,MünsterMichaelStru
2、weVariationalMethodsApplicationstoNonlinearPartialDifferentialEquationsandHamiltonianSystemsFourthEdition123MichaelStruweETHZürichDepartementMathematikRämistr.1018092Zürich,SwitzerlandISBN978-3-540-74012-4e-ISBN978-3-540-74013-1DOI10.1007/978-3-540-74013-1ErgebnissederMathematikundihr
3、erGrenzgebiete.3.Folge/ASeriesofModernSurveysinMathematicsISSN0071-1136LibraryofCongressControlNumber:2008923744MathematicsSubjectClassification(2000):58E05,58E10,58E12,58E30,58E35,34C25,34C35,35A15,35K15,35K20,35K22,58F05,58F22,58G11©2008Springer-VerlagBerlinHeidelbergThisworkissubjec
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6、y,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse.Typesetting:bytheauthorusingaSpringerTEXmacropackageProduction:LE-TEXJelonek,Schmidt&VöcklerGbR,LeipzigCoverdesign:WMXDesignGmbH,HeidelbergPrintedonaci
7、d-freepaper987654321springer.comPrefacetotheFourthEditionAlmosttwentyyearsafterconceptionofthefirstedition,itwasachallengetoprepareanupdatedversionofthistextontheCalculusofVariations.Thefieldhastruelyadvanceddramaticallysincethattime,toanextentthatIfinditimpossibletogiveacomprehensiveacc
8、ounto
